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Finding the Fourth Proportional to 844.45, 1,165.25 and 565.00

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Solution

The fourth proportional to 844.45, 1,165.25 and 565.00 is: 779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.45 : 1,165.25 = 565.00 : x
  2. Step 2: Convert to fraction form
    844.45/1,165.25 = 565.00/x
  3. Step 3: Cross multiply
    844.45x = 1,165.25 × 565.00
  4. Step 4: Simplify right side
    844.45x = 658,364.75
  5. Step 5: Solve for x
    x = 658,364.75/844.45
  6. Step 6: Final answer
    x = 779.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.